N=2 Supersymmetric Integrable Hierarchies: Additional Symmetries and Darboux-Backlund Solutions
Exactly Solvable and Integrable Systems
2007-05-23 v3 High Energy Physics - Theory
Abstract
We study additional non-isospectral symmetries of constrained (reduced) N=2 supersymmetric KP hierarchies of integrable ``soliton''-like evolution equations. These symmetries are shown to form an infinite-dimensional non-Abelian superloop superalgebra. Furthermore we study the general Darboux-Backlund (DB) transformations (including adjoint-DB and binary DB) of N=2 super- KP hierarchies preserving (most of) the additional symmetries. Also we derive the explicit form of the general DB (N=2 ``super- soliton''-like) solutions in the form of generalized Wronskian-like super-determinants.
Keywords
Cite
@article{arxiv.nlin/0103055,
title = {N=2 Supersymmetric Integrable Hierarchies: Additional Symmetries and Darboux-Backlund Solutions},
author = {Emil Nissimov and Svetlana Pacheva},
journal= {arXiv preprint arXiv:nlin/0103055},
year = {2007}
}
Comments
Mod.Phys.Lett. LaTeX Style, 14 pages, comments and references added, minor changes in Sect.3